The method of differential renormalization is extended to the calculat
ion of the one-loop graviton and gravitino corrections to (g - 2)(l) i
n unbroken supergravity, Rewriting the singular contributions of all t
he diagrams in terms of only one singular function, U(1) gauge invaria
nce and supersymmetry are preserved. We compare this calculation with
previous ones which made use of momentum space regularization (renorma
lization) methods. (C) 1997 Elsevier Science B.V. PACS: 11.10.Gh; 04.6
5.+e; 11.30.Pb; 13.40.Em.